Katherine P. answered 08/17/13
Positive, Effective, and Experienced Math Tutor
Using an equation for a parabola (pointing upwards):
x^2 = 4ay
a = the focus, so 1.8 meters
the depth is y = 0.76 meters
So we will calculate the size of your dish and see if it matches you 4.7 meters (we're hoping x = 4.7/2 = 2.35)
x^2 = 4(1.8)(0.76)
x^2 = 5.472
x = 2.339 meters
So it seems like your dish size may be a bit large. You can use this equation and fix whichever variables you want to rework the problem.